4.5 Article

A Sinc-Collocation method for the linear Fredholm integro-differential equations

Journal

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Volume 58, Issue 3, Pages 380-390

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00033-006-5124-5

Keywords

sinc function; collocation method; Fredholm type; integro-differential equations

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A Sinc-Collocation method for solving linear integro-differential equations of the Fredholm type is discussed. The integro-differential equations are reduced to a system of algebraic equations and Q-R method is used to establish numerical procedures. The convergence rate of the method is O (e(-k root N)). Numerical results are included to confirm the efficiency and accuracy of the method even in the presence of singularities and a comparison with the rationalized Haar wavelet method is made.

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